Premium
Evolutionary conditions in the dissipative MHD system: Stability of intermediate MHD shock waves
Author(s) -
Hada Tohru
Publication year - 1994
Publication title -
geophysical research letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.007
H-Index - 273
eISSN - 1944-8007
pISSN - 0094-8276
DOI - 10.1029/94gl02239
Subject(s) - dissipative system , magnetohydrodynamics , physics , magnetohydrodynamic drive , superposition principle , shock wave , dissipation , shock (circulatory) , classical mechanics , mechanics , stability (learning theory) , plasma , thermodynamics , quantum mechanics , computer science , medicine , machine learning
The evolutionary conditions in the dissipative magnetohydrodynamic (MHD) system are discussed, and the results are applied to argue stability of MHD intermediate shock waves. When dissipative wave modes are included, arbitrary perturbations given to the shock can be expressed as a superposition of outgoing wave modes from the shock: thus, intermediate shocks are evolutionary in dissipative MHD. The matching conditions of incoming and outgoing wave modes at the shock give an under‐determined set of equations, which defines a unique solution when the minimum dissipation principle is imposed.